The classic example of riding a bicycle comes to mind. No amount of propositional knowledge will allow you to use a bike successfully on the first go. Theory about gyroscopic effects of wheels and so forth all comes to nothing until you hop on and try (and fail, repeatedly) to ride the damn thing.

Conversely, most people never realise the propositional knowledge that in order to steer the bike left, you must turn the handle bars right (at least initially and at high speeds). But they do it unconsciously nonetheless.